Chatting with a friend about a game we used to play, and thinking how to implement it in code.

Here is the rules: Given a list of number e.g. {1,2,3,4} try to use all the number from the list to perform +,-,*,/ operation to reach a target number e.g. 2

So one solution will be (1+3)*2/4 = 2

any idea?

Chatting with a friend about a game we used to play, and thinking how to implement it in code.

Here are the rules:

Given a list of number e.g. {1,2,3,4} 
Try to use all the numbers from the list to perform +,-,*,/ operations to reach a target number (e.g. 2).
The numbers can be used only once, the operators can be used more than once.

So one solution would be (1+3)*2/4 = 2

Any ideas for an algorithm to get at the answer(s)?